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Finding the Fourth Proportional to 963.78, 1,445.67 and 233.36

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Solution

The fourth proportional to 963.78, 1,445.67 and 233.36 is: 350.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    963.78 : 1,445.67 = 233.36 : x
  2. Step 2: Convert to fraction form
    963.78/1,445.67 = 233.36/x
  3. Step 3: Cross multiply
    963.78x = 1,445.67 × 233.36
  4. Step 4: Simplify right side
    963.78x = 337,359.74
  5. Step 5: Solve for x
    x = 337,359.74/963.78
  6. Step 6: Final answer
    x = 350.04

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Double scale
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.